Which is the best estimate of the sum of 5 1 5 and 8 5 6 ? A. 12 B. 13 C. 14 D. 15

Find the slope given the points (-5,-3) and (2,4)

Setler79 [48]

Answer:

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

(-5, -3)
(2, 4)

We can use the rate of change formula to find the slope of the points.

$\displaystyle \frac{\triangle y}{\triangle x}$

In mathematics, coordinate pairs are labeled as:

$(x_1, y_1) \ \text{and} \ (x_2, y_2)$

Therefore, we can relabel our points:

$x_1 = -5$
$y_1 = -3$
$x_2 = 2$
$y_2 = 4$

After we do this, we can expand the rate of change formula:

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Now, we can use simple substitution to solve for m, or the slope.

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1$

Therefore, the slope of the line is 1.

8 0

2 years ago

Read 2 more answers

A teacher wants to buy 9 boxes of granola bars for a school trip. Each box usually costs $7, but many grocery stores are having

Novay_Z [31]

Answer:

well I think the question's not complete but if that's the question then 9 boxes would cost about $63 dollars. since some stores have a sale, you should add the word 'about' or 'around' with the answer. hope it was helpful ))

5 0

2 years ago

What is an equivalent fraction for 3:11

Dmitry [639]

Answer:

$\frac{3}{11}$

Step-by-step explanation:

When you have something like that, just think that the first number goes on top and the second number goes on bottom.

8 0

2 years ago

What is the probability that the sum of two rolled number cubes is 6, given that you

BlackZzzverrR [31]

Answer:

1/3

Step-by-step explanation:

reduce 2/6 by dividing by 2

3 0

1 year ago

3. A balancing balloon toy is in the shape of a hemisphere (half-sphere) attached to the base of a cone. If the toy is 4ft tall

Katen [24]

Answer:

The volume of the toy is $V=5.23\ ft^3$

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

$V=\frac{2}{3}\pi r^{3}$

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

$D=2\ ft$

$r=2/2=1\ ft$ ----> the radius is half the diameter

substitute

$V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3$

step 2

Find the volume of the cone

The volume of the cone is given by

$V=\frac{1}{3}\pi r^{2}h$

we know that

The radius of the cone is the same that the radius of the hemisphere

so

$r=1\ ft$

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

$h=4-1=3\ ft$

substitute the given values

$V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3$

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

$V=(\frac{2}{3} \pi+\pi)\ ft^3$

$V=(\frac{5}{3}\pi)\ ft^3$

assume

$\pi=3.14$

$V=\frac{5}{3}(3.14)=5.23\ ft^3$

5 0

3 years ago